Question
Find the slope and y-intercept that has infinite solutions to the equation −24x+3y=36
Answers
GPT 3.5
To determine the slope and y-intercept of the equation −24x+3y=36 that has infinite solutions, we can rewrite the equation in slope-intercept form, which is in the form y = mx + b, where m represents the slope and b represents the y-intercept.
Starting with the given equation:
−24x + 3y = 36
To rewrite this equation in slope-intercept form, we need to isolate y on one side of the equation.
Adding 24x to both sides of the equation:
3y = 24x + 36
Dividing both sides of the equation by 3:
y = 8x + 12
Now we can see that the slope of this equation is 8 and the y-intercept is 12.
Therefore, the slope is 8 and the y-intercept is 12 for the equation −24x + 3y = 36 that has infinite solutions.
Starting with the given equation:
−24x + 3y = 36
To rewrite this equation in slope-intercept form, we need to isolate y on one side of the equation.
Adding 24x to both sides of the equation:
3y = 24x + 36
Dividing both sides of the equation by 3:
y = 8x + 12
Now we can see that the slope of this equation is 8 and the y-intercept is 12.
Therefore, the slope is 8 and the y-intercept is 12 for the equation −24x + 3y = 36 that has infinite solutions.